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Finding the Fourth Proportional to 312,653.68, 431,436.52 and 176,699.28

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Solution

The fourth proportional to 312,653.68, 431,436.52 and 176,699.28 is: 243,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,653.68 : 431,436.52 = 176,699.28 : x
  2. Step 2: Convert to fraction form
    312,653.68/431,436.52 = 176,699.28/x
  3. Step 3: Cross multiply
    312,653.68x = 431,436.52 × 176,699.28
  4. Step 4: Simplify right side
    312,653.68x = 76,234,522,449.71
  5. Step 5: Solve for x
    x = 76,234,522,449.71/312,653.68
  6. Step 6: Final answer
    x = 243,830.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.